Search a number
-
+
16323676146 = 2387317041
BaseRepresentation
bin11110011001111011…
…11000011111110010
31120010121212200000000
433030331320133302
5231412330114041
611255441010430
71115341646361
oct171475703762
946117780000
1016323676146
116a17320548
1231b6923a16
131701b5378b
14b0bd497d8
1565812ebb6
hex3ccf787f2

16323676146 has 72 divisors (see below), whose sum is σ = 37231691484. Its totient is φ = 5366373120.

The previous prime is 16323676091. The next prime is 16323676157. The reversal of 16323676146 is 64167632361.

16323676146 is a `hidden beast` number, since 1 + 6 + 3 + 23 + 6 + 7 + 614 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15138595521 + 1185080625 = 123039^2 + 34425^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 949386 + ... + 966426.

Almost surely, 216323676146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16323676146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615845742).

16323676146 is an abundant number, since it is smaller than the sum of its proper divisors (20908015338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16323676146 is an frugal number, since it uses more digits than its factorization.

16323676146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17140 (or 17119 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 16323676146 in words is "sixteen billion, three hundred twenty-three million, six hundred seventy-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1314 1458 1971 2187 3942 4374 5913 6561 11826 13122 17041 17739 34082 35478 51123 53217 102246 106434 153369 159651 306738 319302 460107 478953 920214 957906 1243993 1380321 2487986 2760642 3731979 4140963 7463958 8281926 11195937 12422889 22391874 24845778 33587811 37268667 67175622 74537334 100763433 111806001 201526866 223612002 302290299 604580598 906870897 1813741794 2720612691 5441225382 8161838073 16323676146